Hey, you said you don't know of any family members? I assume you found these on the IGI - all fathers William Dickson, all mothers Elizabeth Brown
1. ELIZABETH DICKSON - International Genealogical Index
Gender: Female Christening: 28 APR 1811 Tweedsmuir, Peebles, Scotland
2. AGNES DICKSON - International Genealogical Index
Gender: Female Christening: 27 JUN 1804 Tweedsmuir, Peebles, Scotland
3. JANET DICKSON - International Genealogical Index
Gender: Female Christening: 05 MAR 1821 Tweedsmuir, Peebles, Scotland
4. WILLIAM DICKSON - International Genealogical Index
Gender: Male Christening: 07 JAN 1809 Tweedsmuir, Peebles, Scotland
5. JOHN DICKSON - International Genealogical Index
Gender: Male Christening: 21 FEB 1816 Tweedsmuir, Peebles, Scotland
6. DAVID DICKSON - International Genealogical Index
Gender: Male Christening: 20 AUG 1818 Tweedsmuir, Peebles, Scotland
7. GEORGE DICKSON - International Genealogical Index
Gender: Male Christening: 05 SEP 1806 Tweedsmuir, Peebles, Scotland
8. JAMES DICKSON - International Genealogical Index
Gender: Male Christening: 24 OCT 1813 Tweedsmuir, Peebles, Scotland
9. ROBERT DICKSON - International Genealogical Index
Gender: Male Christening: 06 SEP 1802 Tweedsmuir, Peebles, Scotland
Also: have you tried
http://www.scotlandspeople.gov.uk/index.aspx